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Simplifying 5x + 6(x + -2) + -8(x + -3) = 0 Reorder the terms: 5x + 6(-2 + x) + -8(x + -3) = 0 5x + (-2 * 6 + x * 6) + -8(x + -3) = 0 5x + (-12 + 6x) + -8(x + -3) = 0 Reorder the terms: 5x + -12 + 6x + -8(-3 + x) = 0 5x + -12 + 6x + (-3 * -8 + x * -8) = 0 5x + -12 + 6x + (24 + -8x) = 0 Reorder the terms: -12 + 24 + 5x + 6x + -8x = 0 Combine like terms: -12 + 24 = 12 12 + 5x + 6x + -8x = 0 Combine like terms: 5x + 6x = 11x 12 + 11x + -8x = 0 Combine like terms: 11x + -8x = 3x 12 + 3x = 0 Solving 12 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 0 + -12 3x = 0 + -12 Combine like terms: 0 + -12 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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